In the infinite play material there is the infinite being (singularity) and finite being (plurality). An infinite player is one that maintains both perspectives concurrently.

We are not all the same person, we are the same being. We are not all one as a person; we are all one as a being -The Infinite Player

Although one may realize there is only one being in the room the other instances of the infinite being finite may not. In the infinite play material it says that we meet ourselves trapped in illusions and that one knowing seeks to free oneself from the illusion, but stresses that before we can eliminate the illusions in the mind of another we must eliminate the illusions in our mind. Otherwise we can easily become entangled in their illusion with another instance of one's self. In doing this we can see and speak the reality behind the appearance, destroying illusions, the foremost being that of separation, which is what infinite players do, they help to make the connections. -The Infinite Play

Introduced as a meme and the response to it tested by Richard with a Wednesday night audience at the Unity Church in Cincinnati (sin sin not i) in 1988. From this famous exchange between Richard and Deepak a few years ago where it was a statement asked by Richard as a question acting as a divine instigator to cut to the chase. They even named the segment after it "There is only one being" http://www.bordersmedia.com/liveat01/chopra #6